LCM for 48 and 64

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 48 and 64?

Answer

LCM of 48 and 64 is 192

(One hundred ninety-two)

Finding LCM for 48 and 64 using GCF of these numbers

The first method to find LCM for numbers 48 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 64 is 16, so

LCM = (48 × 64) ÷ 16

LCM = 3072 ÷ 16

LCM = 192

Finding LCM for 48 and 64 by Listing Multiples

The second method to find LCM for numbers 48 and 64 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144, 192, 240, 288

Multiples of 64: 64, 128, 192, 256, 320

So the LCM for 48 and 64 is 192

Finding LCM for 48 and 64 by Prime Factorization

Another method to find LCM for numbers 48 and 64 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

26 × 31 = 192

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About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 48 and 64? (The answer is: 192). Select the first number (e.g. '48') and the second number (e.g. '64'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

LCM Table

Number 1Number 2LCM
33642112
34641088
35642240
3664576
37642368
38641216
39642496
4064320
41642624
42641344
43642752
4464704
45642880
46641472
47643008
4864192
49643136
50641600
51643264
5264832
53643392
54641728
55643520
5664448
57643648
58641856
59643776
6064960
61643904
62641984

FAQ

What's the Least Common Multiple (LCM) of 48 and 64?

LCM of 48 and 64 is 192

How to find the LCM of 48 and 64 using prime factorization?

To find the LCM of 48 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 192.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 48 and 64: LCM = 192, GCF = 16.

See Also